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Finding the Fourth Proportional to 788.46, 1,182.38 and 377.30

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Solution

The fourth proportional to 788.46, 1,182.38 and 377.30 is: 565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.46 : 1,182.38 = 377.30 : x
  2. Step 2: Convert to fraction form
    788.46/1,182.38 = 377.30/x
  3. Step 3: Cross multiply
    788.46x = 1,182.38 × 377.30
  4. Step 4: Simplify right side
    788.46x = 446,104.18
  5. Step 5: Solve for x
    x = 446,104.18/788.46
  6. Step 6: Final answer
    x = 565.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.